Question

Asked Feb 15, 2019

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Towns A and B in the figure below are 80.0 km apart. A couple arranges to drive from town A and meet a couple driving from town B at the lake, L. The two couples leave simultaneously and drive for 2.15 h in the directions shown. Car 1 (leaving from Town A) has a speed of 99.0 km/h. If the cars arrive simultaneously at the lake, what is the speed (in km/h) of car 2 (leaving from Town B)?

What If? If the couple departing from town B are delayed by a flat tire, how much later (in hours) can they leave town B after the first couple leaves town A and still reach the lake at the same time as the couple from town A? Assume that the speed limit on the road taken by the couple from town B is 88.5 km/h (55 mph) and that the couple obeys the speed limit.

*Three sections of a map are shown. Two of the sections represent towns A and B and the third section is a lake. Town A appears to the left of town B and the lake appears above town B. Between Towns A and B is a dashed line labeled 80.0 km. Extending from Town A upwards and to the right and ending at the lake is a line labeled car 1. Extending from Town B upwards, slightly to the right and ending at the lake is a line labeled car 2.*

1 Rating

Step 1

Given,

Driving Time, t=2.15h

Car1 speed, V_{1}=99.0 km/h

Distance between the car, x=80.0 km

Step 2

The distance between A and L is calculated by multiplying velocity and time of car1.

Step 3

Using the cosine rule, distance between B ...

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